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Finding the Fourth Proportional to 694.49, 958.34 and 399.78

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Solution

The fourth proportional to 694.49, 958.34 and 399.78 is: 551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.49 : 958.34 = 399.78 : x
  2. Step 2: Convert to fraction form
    694.49/958.34 = 399.78/x
  3. Step 3: Cross multiply
    694.49x = 958.34 × 399.78
  4. Step 4: Simplify right side
    694.49x = 383,126.16
  5. Step 5: Solve for x
    x = 383,126.16/694.49
  6. Step 6: Final answer
    x = 551.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.